In the realm of quantum physics, the concept of quantum billiards provides a compelling framework for exploring the fundamental principles governing quantum systems confined within specific geometric boundaries. This talk delves into the dynamical spectral rigidity of the Bunimovich stadium, a pivotal aspect of quantum chaos theory. The discussion will continue to the future direction of our research, specifically focusing on the pursuit of quantum unique ergodicity. This exploration not only sheds light on the behavior of quantum billiard systems but also sets the stage for further investigations into the quantum mechanical properties of complex systems, marking a significant step forward in our understanding of quantum chaos.